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12245866854221 = 7111364718908243
BaseRepresentation
bin1011001000110011011010…
…0010110011011101001101
31121100200201111221101210102
42302030312202303131031
53101114013403313341
642013401254020445
72402506665543410
oct262146642633515
947320644841712
1012245866854221
1139a14966544a0
1214593b8047725
136aaa1b3ac790
143049bb4dbb77
15163822e63c9b
hexb23368b374d

12245866854221 has 32 divisors (see below), whose sum is σ = 16467416598528. Its totient is φ = 8794601519040.

The previous prime is 12245866854191. The next prime is 12245866854233.

12245866854221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12245866854221 - 214 = 12245866837837 is a prime.

It is a super-2 number, since 2×122458668542212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245866854121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8806475 + ... + 10101768.

It is an arithmetic number, because the mean of its divisors is an integer number (514606768704).

Almost surely, 212245866854221 is an apocalyptic number.

12245866854221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12245866854221 is a deficient number, since it is larger than the sum of its proper divisors (4221549744307).

12245866854221 is a wasteful number, since it uses less digits than its factorization.

12245866854221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18908921.

The product of its digits is 14745600, while the sum is 56.

The spelling of 12245866854221 in words is "twelve trillion, two hundred forty-five billion, eight hundred sixty-six million, eight hundred fifty-four thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 647 1001 4529 7117 8411 49819 58877 92521 647647 18908243 132357701 207990673 245807159 1455934711 1720650113 2703878749 12233633221 18927151243 85635432547 134569965431 159037231873 941989758017 1113260623111 1749409550603 12245866854221